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                光                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p><div>假设有一个n&times;m的网格。左上角的格子坐标是（1,1），右下角的格子坐标是（n,m）。网格中有k个堵塞的格子，其他的格子是空的。你在空格子（xs，ys）的中心向一个对角线方向（也就是东北，西北，东南，西南）发射一束激光。如果光束碰到堵塞的格子或网格边界，它会反射。在不同情况下光束的反射方式如下图所示。</div>
<div>&nbsp;<img src="../file/4235_0.png" width="508" height="159" alt="" /></div>
<div>过了一会儿，光束进入了一个无限的循环。计算至少被光束通过一次的空格子数。我们认为光束通过了一个格子的中心才算是通过了这个格子。</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>第一行三个整数n、m、k，接下来k行每行两个整数xi和yi，表示第i个堵塞的格子的坐标。</div>
<div>最后一行两个整数xs，ys和一个字符串表示激光发出的方向。&ldquo;NE&rdquo;，&ldquo;NW&rdquo;，&ldquo;SE&rdquo;，&ldquo;SW&rdquo;分别表示方向（-1，1），（-1，-1），（1，1），（1，-1）。</div>
<div>保证输入的堵塞的格子坐标不重复。</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>一行输出光束至少通过一次的空格子数。</div>
<p></p></p><hr/><h3>样例输入</h3><pre>7 5 3
3 3
4 3
5 3
2 1 SE</pre><hr/><h3>样例输出</h3><pre>14
</pre><hr/><h3>提示</h3><p><div>100%的数据 n，m，k&le;1000000</div>
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<p></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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